prove that for any vector(adsbygoogle = window.adsbygoogle || []).push({});

[tex]A_i[/tex]

the expression

[tex]A_{i.j}-A_{j.i}[/tex]

is a tensor, even under non-linear transformations. Similarly prove that for any antisymmetric tensor

[tex]E_{ij}[/tex]

the expression

[tex]E_{ij.k}+E_{jk.i}+E_{ki.j}[/tex]

is a tensor.

____________________________

What does the dots mean?

For example between i and j in i.j ?

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# A_i,j - A_j,i is a tensor

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